The list of $11$ numbers is $1$, $2$, $3$, $3$, $3$, $5$, $7$, $10$, $10$, $10$, $20$. Which of the following correctly describes the **mode** of this list?
AThe mode is $3$.
BThe mode is $10$.
CThe list has two modes: $3$ and $10$.
DThe list has no mode.
Answer & Solution
Correct answer: C. The list has two modes: $3$ and $10$.
The **mode** is the value (or values) that appear most often.
Count the frequencies: $1 \to 1$, $2 \to 1$, $3 \to 3$, $5 \to 1$, $7 \to 1$, $10 \to 3$, $20 \to 1$.
Both $3$ and $10$ tie at frequency $3$, and every other value has lower frequency. A list with two modes is called **bimodal**.
- A and B each pick just one of the two modes — neither alone is right.
- D would only be correct if no value repeated.
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